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lesmontoya10
08.07.2021 •
Mathematics
Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages than Trey. Juan sent 3 times as many messages as Rachel. How many messages did they each send?
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Ответ:
Trey = 9 text messages
Rachel = 19 text messages
Juan = 57 text messages
Step-by-step explanation:
Let
Number of messages Trey sent = x
Number of messages Rachel sent = x + 10
Number of messages Juan sent = 3(x + 10)
Total messages = 85
Total = Trey + Rachel + Juan
85 = x + (x + 10) + 3(x + 10)
85 = x + x + 10 + 3x + 30
85 = 5x + 40
85 - 40 = 5x
45 = 5x
x = 45/5
x = 9
Number of messages Trey sent = x = 9 text messages
Number of messages Rachel sent = x + 10
= 9 + 10
= 19 text messages
Number of messages Juan sent = 3(x + 10)
= 3(9 + 10)
= 3(19)
= 57 text messages
Ответ: